MinT - Information on Result #1297336

Information on Result #1297336

Linear OA(2¹⁸², 211, F₂, 70) (dual of [211, 29, 71]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(2¹⁷¹, 199, F₂, 70) (dual of [199, 28, 71]-code), using
- 1 times truncation [i] based on linear OA(2¹⁷², 200, F₂, 71) (dual of [200, 28, 72]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(16¹⁸, 25, F₁₆, 17) (dual of [25, 7, 18]-code), using
      - extended algebraic-geometric code AG_e(F,7P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 25, using
        sharp bound on the number of rational points on curves with genus 1 [i]
    2. linear OA(2⁴, 8, F₂, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
      - Reedâ€“Muller code RM(1,3) [i]
      - caps in base bÂ =Â 2 [i]
linear OA(2¹⁷¹, 200, F₂, 59) (dual of [200, 29, 60]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 2¹⁷¹Â > V_b^sâˆ’1(kâˆ’1)Â = 1478 058226 850484 456480 945262 169558 236928 916659 587064 [i]
linear OA(2¹⁰, 11, F₂, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,2)), using
- dual of repetition code with length 11 [i]

Mode: Linear.

None.

None.